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42951216 = 24371111621
BaseRepresentation
bin1010001111011…
…0001000110000
32222211010222210
42203312020300
541443414331
64132332120
71031036130
oct243661060
988733883
1042951216
1122276980
1212474040
138b8ac29
1459c0ac0
153b86446
hex28f6230

42951216 has 80 divisors (see below), whose sum is σ = 138348288. Its totient is φ = 11155200.

The previous prime is 42951211. The next prime is 42951241. The reversal of 42951216 is 61215924.

It is not an unprimeable number, because it can be changed into a prime (42951211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2115 + ... + 9506.

Almost surely, 242951216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42951216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69174144).

42951216 is an abundant number, since it is smaller than the sum of its proper divisors (95397072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42951216 is a wasteful number, since it uses less digits than its factorization.

42951216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11644 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 42951216 is about 6553.7177235520. The cubic root of 42951216 is about 350.2072677094.

The spelling of 42951216 in words is "forty-two million, nine hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 11621 23242 34863 46484 69726 81347 92968 127831 139452 162694 185936 244041 255662 278904 325388 383493 488082 511324 557808 650776 766986 894817 976164 1022648 1301552 1533972 1789634 1952328 2045296 2684451 3067944 3579268 3904656 5368902 6135888 7158536 10737804 14317072 21475608 42951216